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Finding the Fourth Proportional to 13,983.75, 20,978.51 and 5,775.75

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Solution

The fourth proportional to 13,983.75, 20,978.51 and 5,775.75 is: 8,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.75 : 20,978.51 = 5,775.75 : x
  2. Step 2: Convert to fraction form
    13,983.75/20,978.51 = 5,775.75/x
  3. Step 3: Cross multiply
    13,983.75x = 20,978.51 × 5,775.75
  4. Step 4: Simplify right side
    13,983.75x = 121,166,600.25
  5. Step 5: Solve for x
    x = 121,166,600.25/13,983.75
  6. Step 6: Final answer
    x = 8,664.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.